Systematic errors induced by the elliptical power-law model in galaxy-galaxy strong lens modeling

Abstract

The elliptical power-law (EPL) model of the mass in a galaxy is widely used in strong gravitational lensing analyses. However, the distribution of mass in real galaxies is more complex. We quantify the biases due to this model mismatch by simulating and then analysing mock {\it Hubble Space Telescope} imaging of lenses with mass distributions inferred from SDSS-MaNGA stellar dynamics data. We find accurate recovery of source galaxy morphology, except for a slight tendency to infer sources to be more compact than their true size. The Einstein radius of the lens is also robustly recovered with 0.1% accuracy, as is the global density slope, with 2.5% relative systematic error, compared to the 3.4% intrinsic dispersion. However, asymmetry in real lenses also leads to a spurious fitted `external shear' with typical strength, ${\gamma }_{\mathrm{ext}}=0.015$. Furthermore, time delays inferred from lens modelling without measurements of stellar dynamics are typically underestimated by $\sim$5%. Using such measurements from a sub-sample of 37 lenses would bias measurements of the Hubble constant $H_0$ by $\sim$9%. Although this work is based on a particular set of MaNGA galaxies, and the specific value of the detected biases may change for another set of strong lenses, our results strongly suggest the next generation cosmography needs to use more complex lens mass models.

arXiv commentAccepted by RAA; Fix a few typos, add some references

References in corpus (136)

• SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
• Astropy: A Community Python Package for Astronomy
• emcee: The MCMC Hammer
• The NumPy array: a structure for efficient numerical computation
• Planck 2015 results. XIII. Cosmological parameters
• The Structure of Cold Dark Matter Halos
• The Astropy Project: Building an inclusive, open-science project and status of the v2.0 core package
• scikit-image: Image processing in Python
• The EAGLE project: Simulating the evolution and assembly of galaxies and their environments
• LSST: from Science Drivers to Reference Design and Anticipated Data Products
• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• First results from the IllustrisTNG simulations: matter and galaxy clustering
• First results from the IllustrisTNG simulations: the stellar mass content of groups and clusters of galaxies
• X-ray spectral modelling of the AGN obscuring region in the CDFS: Bayesian model selection and catalogue
• First results from the IllustrisTNG simulations: the galaxy color bimodality
• The EAGLE simulations of galaxy formation: calibration of subgrid physics and model variations
• Properties of galaxies reproduced by a hydrodynamic simulation
• First results from the IllustrisTNG simulations: A tale of two elements -- chemical evolution of magnesium and europium
• H0LiCOW XIII. A 2.4% measurement of $H_0$ from lensed quasars: $5.3\sigma$ tension between early and late-Universe probes
• First results from the IllustrisTNG simulations: radio haloes and magnetic fields
• Introducing the Illustris Project: the evolution of galaxy populations across cosmic time
• The Atlas3D project - XV. Benchmark for early-type galaxies scaling relations from 260 dynamical models: mass-to-light ratio, dark matter, Fundamental Plane and Mass Plane
• Analytical Models For Galactic Nuclei
• The Sloan Lens ACS Survey. X. Stellar, Dynamical, and Total Mass Correlations of Massive Early-type Galaxies
• The Sloan Lens ACS Survey. III - The Structure and Formation of Early-type Galaxies and their Evolution since z~1
• The Sloan Lens ACS Survey. I. A Large Spectroscopically Selected Sample of Massive Early-Type Lens Galaxies
• Evidence for substructure in lens galaxies?
• Measuring the inclination and mass-to-light ratio of axisymmetric galaxies via anisotropic Jeans models of stellar kinematics
• Efficient Multi-Gaussian Expansion of galaxies
• The Illustris Simulation: Public Data Release
• COLOSSUS: A python toolkit for cosmology, large-scale structure, and dark matter halos
• The Sloan Lens ACS Survey. IV: the mass density profile of early-type galaxies out to 100 effective radii
• The Sloan Lens ACS Survey. V. The Full ACS Strong-Lens Sample
• Dissecting the Gravitational Lens B1608+656. II. Precision Measurements of the Hubble Constant, Spatial Curvature, and the Dark Energy Equation of State
• The Structure & Dynamics of Massive Early-type Galaxies: On Homology, Isothermality and Isotropy inside one Effective Radius
• Gravitational detection of a low-mass dark satellite at cosmological distance
• TDCOSMO IV: Hierarchical time-delay cosmography -- joint inference of the Hubble constant and galaxy density profiles
• Two accurate time-delay distances from strong lensing: Implications for cosmology
• H0LiCOW I. $H_0$ Lenses in COSMOGRAIL's Wellspring: Program Overview
• The population of galaxy-galaxy strong lenses in forthcoming optical imaging surveys
• Lenstronomy: multi-purpose gravitational lens modelling software package
• Detection of a Dark Substructure through Gravitational Imaging
• Bayesian Strong Gravitational-Lens Modeling on Adaptive Grids: Objective Detection of Mass Substructure in Galaxies
• Cosmology from the Chinese Space Station Optical Survey (CSS-OS)
• The Sloan Lens ACS Survey. IX. Colors, Lensing and Stellar Masses of Early-type Galaxies
• The Density Profiles of Massive, Relaxed Galaxy Clusters. I. The Total Density Over Three Decades in Radius
• Shear and Ellipticity in Gravitational Lenses
• Warm dark matter chills out: constraints on the halo mass function and the free-streaming length of dark matter with 8 quadruple-image strong gravitational lenses
• The Sloan-Lens ACS Survey II: stellar populations and internal structure of early-type lens galaxies
• A Bayesian analysis of regularised source inversions in gravitational lensing
• Mass-sheet degeneracy, power-law models and external convergence: Impact on the determination of the Hubble constant from gravitational lensing
• Semi-linear gravitational lens inversion
• TDCOSMO. I. An exploration of systematic uncertainties in the inference of $H_0$ from time-delay cosmography
• The SL2S Galaxy-scale Lens Sample. IV. The dependence of the total mass density profile of early-type galaxies on redshift, stellar mass, and size
• The Sloan Lens ACS Survey. VII. Elliptical Galaxy Scaling Laws from Direct Observational Mass Measurements
• Inference of the Cold Dark Matter substructure mass function at z=0.2 using strong gravitational lenses
• lenstronomy II: A gravitational lensing software ecosystem
• The BOSS Emission-Line Lens Survey (BELLS). I. A large spectroscopically selected sample of Lens Galaxies at redshift ~ 0.5
• Finding Strong Gravitational Lenses in the Kilo Degree Survey with Convolutional Neural Networks
• The CFHTLS Strong Lensing Legacy Survey: I. Survey overview and T0002 release sample
• A dynamically cold disk galaxy in the early Universe
• Gravitational lens modeling with basis sets
• A precise extragalactic test of General Relativity
• Gravitational Lens Statistics for Generalized NFW Profiles: Parameter Degeneracy and Implications for Self-Interacting Cold Dark Matter
• Source-position transformation -- an approximate invariance in strong gravitational lensing
• The BOSS Emission-Line Lens Survey. II. Investigating Mass-Density Profile Evolution in the SLACS+BELLS Strong Gravitational Lens Sample
• The SL2S Galaxy-scale Lens Sample. II. Cosmic evolution of dark and luminous mass in early-type galaxies
• Dark matter halos of massive elliptical galaxies at $z\sim 0.2$ are well described by the Navarro-Frenk-White profile
• Probing dark matter structure down to $10^7$ solar masses: flux ratio statistics in gravitational lenses with line of sight halos
• AutoLens: Automated Modeling of a Strong Lens's Light, Mass and Source
• SDSS-IV MaNGA: Global stellar population and gradients for about 2000 early-type and spiral galaxies on the mass-size plane
• Low-mass halo perturbations in strong gravitational lenses at redshift z$\sim$0.5 are consistent with CDM
• Dissecting the Gravitational Lens B1608+656. I. Lens Potential Reconstruction
• The bulge-halo conspiracy in massive elliptical galaxies: implications for the stellar initial mass function and halo response to baryonic processes
• The Sloan Lens ACS Survey. XIII. Discovery of 40 New Galaxy-Scale Strong Lenses
• The central image of a gravitationally lensed quasar
• Constraints on the Inner Mass Profiles of Lensing Galaxies from Missing Odd Images
• Finding Strong Gravitational Lenses in the DESI DECam Legacy Survey
• The BOSS Emission-Line Lens Survey. IV. : Smooth Lens Models for the BELLS GALLERY Sample
• Adaptive Semi-linear Inversion of Strong Gravitational Lens Imaging
• Models of the Cosmic Horseshoe Gravitational Lens
• Galaxy-Scale Strong Lensing Tests of Gravity and Geometric Cosmology: Constraints and Systematic Limitations
• PyAutoLens: Open-Source Strong Gravitational Lensing
• Over-constrained Gravitational Lens Models and the Hubble Constant
• Lens galaxies in the Illustris simulation: power-law models and the bias of the Hubble constant from time-delays
• Constraints on the identity of the dark matter from strong gravitational lenses
• The SL2S Galaxy-scale Gravitational Lens Sample. I. The alignment of mass and light in massive early-type galaxies at z=0.2-0.9
• The elliptical power law profile lens
• Constraint on the Post-Newtonian Parameter gamma on Galactic Size Scales
• New high-quality strong lens candidates with deep learning in the Kilo Degree Survey
• The BOSS Emission-Line Lens Survey. III. : Strong Lensing of Ly$\alpha$ Emitters by Individual Galaxies
• Projection effects in the strong lensing study of subhaloes
• Assessing the effect of lens mass model in cosmological application with updated galaxy-scale strong gravitational lensing sample
• Arc Statistics
• Time-delay cosmographic forecasts with strong lensing and JWST stellar kinematics
• SHARP - III: First Use Of Adaptive Optics Imaging To Constrain Cosmology With Gravitational Lens Time Delays
• The Sloan Lens ACS Survey. XI. Beyond Hubble resolution: size, luminosity and stellar mass of compact lensed galaxies at intermediate redshift
• Test of parametrized post-Newtonian gravity with galaxy-scale strong lensing systems
• Lensing and the Centers of Distant Early-Type Galaxies
• On the Choice of Lens Density Profile in Time Delay Cosmography
• Euclid Mission: building of a Reference Survey
• Line-of-sight effects in strong lensing: Putting theory into practice
• Time Delay Lens Modelling Challenge
• Galaxy structure with strong gravitational lensing: decomposing the internal mass distribution of massive elliptical galaxies
• Strong-lensing Measurement of the Mass-density Profile out to 3 Effective Radii for $z\sim 0.5$ Early-type Galaxies
• The evolution of the size-mass relation at $z$=1-3 derived from the complete Hubble Frontier Fields data set
• Deep Learning for Strong Lensing Search: Tests of the Convolutional Neural Networks and New Candidates from KiDS DR3
• Over-constrained Models of Time Delay Lenses Redux: How the Angular Tail Wags the Radial Dog
• Statistical and systematic uncertainties in pixel-based source reconstruction algorithms for gravitational lensing
• The first simultaneous measurement of Hubble constant and post-Newtonian parameter from Time-Delay Strong Lensing
• Resolving on 100 pc scales the UV-continuum in Lyman-$\alpha$ emitters between redshift 2 to 3 with gravitational lensing
• SDSS--IV MaNGA : The Inner Density Slopes of nearby galaxies
• PyAutoFit: A Classy Probabilistic Programming Language for Model Composition and Fitting
• Early-type galaxy density profiles from IllustrisTNG: II. Evolutionary trend of the total density profile
• SEAGLE - I: A pipeline for simulating and modeling strong lenses from cosmological hydrodynamic simulations
• Constraining the inner density slope of massive galaxy clusters
• The PCA Lens-Finder: application to CFHTLS
• Unified lensing and kinematic analysis for any elliptical mass profile
• Reducing biases on $H_0$ measurements using strong lensing and galaxy dynamics: results from the EAGLE simulation
• The BOSS Emission-Line Lens Survey V. Morphology and Substructure of Lensed Lyman-$\alpha$ Emitters at redshift $z\approx 2.5$ in the BELLS GALLERY
• A new VLA/e-MERLIN limit on central images in the gravitational lens system CLASS B1030+074
• Systematic errors in strong gravitational lensing reconstructions, a numerical simulation perspective
• The discovery of the most UV-Lya luminous star-forming galaxy: a young, dust- and metal-poor starburst with QSO-like luminosities
• A search for the third lensed image in JVAS B1030+074
• Auto-identification of unphysical source reconstructions in strong gravitational lens modelling
• ALMA [N ıı] 205 μm Imaging Spectroscopy of the Lensed Submillimeter galaxy ID 141 at redshift 4.24
• LESSER: A Catalogue of Spectroscopically selected sample of Lyman-$\alpha$ Emitters Lensed By Galaxies
• An accurate analytic mass model for lensing galaxies
• Cosmic Shear with Einstein Rings
• Galaxy-lens determination of $H_0$: the effect of the ellipse+shear modeling assumption
• Towards the first detection of strongly lensed HI emission
• The impact of mass map truncation on strong lensing simulations
• The Extragalactic Lens VLBI Imaging Survey (ELVIS). I. A Search for the Central Image in the Gravitational Lens PMN J1838-3427
• Galaxy mass profiles from strong lensing III: The two-dimensional broken power-law model
• Globular clusters vs dark matter haloes in strong lensing observations

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• Consequences of the lack of azimuthal freedom in the modeling of lensing galaxies
• The COSMOS-Web Lens Survey (COWLS) I: Discovery of >100 high redshift strong lenses in contiguous JWST imaging
• Exploiting the diversity of modeling methods to probe systematic biases in strong lensing analyses
• El Gordo needs El Anzuelo: Probing the structure of cluster members with multi-band extended arcs in JWST data
• Foreground biases in strong gravitational lensing
• Mass Reconstruction of Galaxy-scale Strong Gravitational Lenses Using a Broken Power-law Model
• Pixel-level modelling of group-scale strong lens CASSOWARY 19
• The "Little Dark Dot": Evidence for Self-interacting Dark Matter in the Strong Lens SDSS J0946+1006?
• Systematics in ETG Mass Profile Modelling: Strong Lensing & Stellar Dynamics
• Measuring the Stellar-to-Halo Mass Relation at $\sim 10^{10}$ Solar masses, using forthcoming space-based imaging of galaxy-galaxy strong lenses
• Using Strong Lensing to Detect Subhalos with Steep Inner Density Profiles
• Blowing Star Formation Away in AGN Hosts (BAH) -- III. Serendipitous discovery of a $z\sim 2.9$ star-forming galaxy lensed by the galactic bulge of CGCG 012-070 using JWST NIRSpec